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NDA 2014
Exam
NDA
Year
2014
Subject
Mathematics
Chapter
Definite Integration

NDA 2014 · Mathematics · Definite Integration

What is ∫_0^ (π)/(2) (d x)/(a^2 ^2 x+b^2 ^2 x) equal to?

What is ∫0π2dxa2cos⁡2x+b2sin⁡2x\int_0^{\frac{\pi}{2}} \frac{d x}{a^2 \cos ^2 x+b^2 \sin ^2 x} equal to?

Options

  1. A2ab2 a b
  2. B2πab2 \pi a b
  3. Cπ2ab\frac{\pi}{2 a b}
  4. Dπab\frac{\pi}{a b}

Correct answer

C. π2ab\frac{\pi}{2 a b}

Step-by-step solution

The correct answer is option (C)
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